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Finding the Fourth Proportional to 164.30, 226.78 and 109.05

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Solution

The fourth proportional to 164.30, 226.78 and 109.05 is: 150.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.30 : 226.78 = 109.05 : x
  2. Step 2: Convert to fraction form
    164.30/226.78 = 109.05/x
  3. Step 3: Cross multiply
    164.30x = 226.78 × 109.05
  4. Step 4: Simplify right side
    164.30x = 24,730.36
  5. Step 5: Solve for x
    x = 24,730.36/164.30
  6. Step 6: Final answer
    x = 150.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.